sample of publications

• articles 

  • Average sampling in certain subspaces of Hilbert&-Schmidt operators on L2(Rd).  Sampling Theory, Signal Processing, and Data Analysis.  19:1-21. 2021
  • Sampling in A-shift-invariant subspaces of Hilbert-Schmidt operators on L2(Rd).  Mathematical Foundations of Computing.  4:281-297. 2021
  • A note on continuous stable sampling.  Advances in Operator Theory.  5:994-1013. 2020
  • Convolution Systems on Discrete Abelian Groups as a Unifying Strategy in Sampling Theory.  Results in Mathematics.  75:1-22. 2020
  • On Regular Generalized Sampling in T-Invariant Subspaces of a Hilbert Space: An Overview.  NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION.  41:685-709. 2020
  • Knit Product of Finite Groups and Sampling.  Mediterranean Journal of Mathematics.  16:1-16. 2019
  • Riesz bases associated with regular representations of semidirect product groups.  Banach Journal of Mathematical Analysis.  14:41-62. 2019
  • Sampling Associated with a Unitary Representation of a Semi-Direct Product of Groups: A Filter Bank Approach.  Symmetry-Basel.  11. 2019
  • Filter banks on discrete Abelian Groups.  International Journal of Wavelets Multiresolution and Information Processing.  16. 2018
  • Sampling formulas involving differences in shift-invariant subspaces: a unified approach.  NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION.  39:667-688. 2017
  • Sampling in unitary invariant subspaces associated to LCA groups.  Results in Mathematics.  72:1725-1745. 2017
  • Modeling Sampling in Tensor Products of Unitary Invariant Subspaces.  Journal of Function Spaces.  1-14. 2016
  • Finite Sampling in Multiple Generated U-Invariant Subspaces.  IEEE TRANSACTIONS ON INFORMATION THEORY.  62:2203-2212. 2016
  • Hypercyclicity of translation operators in a reproducing kernel hilbert space of entire functions induced by an analytic hilbert-space-valued kernel.  OSAKA JOURNAL OF MATHEMATICS.  52:581-599. 2015
  • Sampling-related frames in finite U-invariant subspaces.  APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS.  39:173-184. 2015
  • The Zero-Removing Property in Hilbert Spaces of Entire Functions Arising in Sampling Theory.  Results in Mathematics.  67:471-494. 2015
  • Generalized sampling: from shift-invariant to U-invariant spaces.  Analysis and Applications.  13:303-329. 2015
  • The Kramer sampling theorem revisited.  ACTA APPLICANDAE MATHEMATICAE.  133:87-111. 2014
  • Sampling associated with resolvent-type kernels and Lagrange-type interpolation series.  HOUSTON JOURNAL OF MATHEMATICS.  39:1333-1347. 2013
  • On Some Sampling-Related Frames in U-Invariant Spaces.  Abstract and Applied Analysis.  1-14. 2013
  • Sampling in reproducing Kernel Banach spaces.  Mediterranean Journal of Mathematics.  10:1401-1417. 2013
  • Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces.  Complex Variables and Elliptic Equations.  58:79-97. 2013
  • Multi-channel sampling on shift-invariant spaces with frame generators.  International Journal of Wavelets Multiresolution and Information Processing.  10:1-20. 2012
  • A matrix pencil approach to the existence of compactly supported reconstruction functions in average sampling.  LINEAR ALGEBRA AND ITS APPLICATIONS.  435:2837-2859. 2011
  • The zero-removing property and Lagrange-type interpolation series.  NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION.  32:858-876. 2011
  • Regular multivariate sampling and approximation in L-p shift-invariant spaces.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  380:607-627. 2011
  • Oversampling in Shift-Invariant Spaces with a Rational Sampling Period.  IEEE TRANSACTIONS ON SIGNAL PROCESSING.  57:3442-3449. 2009
  • Multivariate Generalized Sampling in Shift-Invariant Spaces and Its Approximation Properties.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  355:397-413. 2009
  • Oversampling and Reconstruction Functions with Compact Support.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  227:245-253. 2009
  • El uso de bases y frames en teoría de muestreo.  La Gaceta de la Real Sociedad Matemática Española.  12:301-314. 2009
  • A General Sampling Theory in the Functional Hilbert Space Induced by a Hilbert Space Valued Kernel.  Journal of applied functional analysis.  3:299-313. 2008
  • On Lagrange-Type Interpolation Series and Analytic Kramer Kernels.  Results in Mathematics.  51:215-228. 2008
  • Aliasing Error of Sampling Series in Wavelet Subspaces.  NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION.  29:126-144. 2008
  • Approximation from Shift-Invariant Spaces by Generalized Sampling Formulas.  APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS.  24:58-69. 2008
  • Generalized Sampling in Shift-Invariant Spaces with Multiple Stable Generators.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  337:69-84. 2008

• book chapters 

  • Sampling in the range of the analysis operator of a continuous frame having a unitary structure. In: From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theor: A Volume in Honor of Lance Littlejohn's 70th Birthday.  Birkhauser. 91-111. 2021
  • Towards a Quantum Sampling Theory: The Case of Finite Groups. In: Classical and Quantum Physics: 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control.  SPRINGER. 203-229. 2019
  • Sampling Theory and Reproducing Kernel Hilbert Spaces. In: Operator Theory.  SPRINGER. 87-110. 2015
  • Generalized Sampling in L²(R^d) Shift-Invariant Subspaces with Multiple Stable Generators. In: Multiscale Signal Analysis and Modeling.  SPRINGER. 51-80. 2013

• books 

  • Espacios de Hilbert y análisis de Fourier: los primeros pasos.  SANZ Y TORRES. 2014
  • Bases en espacios de Hilbert. Teoría de muestreo y wavelets.  SANZ Y TORRES. 2014
  • Bases en espacios de Hilbert : teoría de muestreo y wavelets.  MADRID: SANZ Y TORRES. 2012
  • Espacios de Hilbert y análisis de Fourier : los primeros pasos.  MADRID: SANZ Y TORRES. 2012

• conference contributions 

  • Generalized sampling in U-invariant subspaces 2013
  • Teoría de muestreo en espacios unitariamente invariantes 2013
  • A matrix pencil tool to solve a sampling problem.  84. 2012
  • Sampling in reproducing kernel Banach spaces 2012
  • Analytical sampling, Lagrange-type interpolation series and de Branges spaces 2011
  • Compactly supported reconstruction functions in average sampling: A matrix pencil approach 2011
  • Generalized sampling in L2 (Rd) shift-invariant subspaces with multiple stable generators 2011
  • Muestreo generalizado en subespacios invariantes por traslación de L2 (Rd)..  212-213. 2011